Results 101 to 110 of about 33,314 (234)
Emission of Solitons From an Obstacle Moving in the Bose-Einstein Condensate
Frontiers in Physics, 2021 Dark solitons dynamically generated from a potential moving in a one-dimensional Bose-Einstein condensate are displayed. Based on numerical simulations of the Gross-Pitaevskii equation, we find that the moving obstacle successively emits a series of ...
Yu Song +3 more
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Ab initio methods for finite temperature two-dimensional Bose gases
, 2012 The stochastic Gross-Pitaevskii equation and modified Popov theory are shown to provide an ab initio description of finite temperature, weakly-interacting two-dimensional Bose gas experiments.
N. P. Proukakis +3 more
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Derivation of the Gross-Pitaevskii Equation for Rotating Bose Gases [PDF]
, 2005 We prove that the Gross-Pitaevskii equation correctly describes the ground state energy and corresponding one-particle density matrix of rotating, dilute, trapped Bose gases with repulsive two-body interactions.
E. Lieb, R. Seiringer
semanticscholar +1 more source
Optical control of topological end states via soliton formation in a 1D lattice
Nanophotonics, Volume 14, Issue 6, Page 769-775, April 2025.Abstract Discrete spatial solitons are self‐consistent solutions of the discrete nonlinear Schrödinger equation that maintain their shape during propagation. Here we show, using a pump‐probe technique, that soliton formation can be used to optically induce and control a linear topological end state in the bulk of a Su–Schrieffer–Heeger lattice, using ...
Christina Jörg +3 more
wiley +1 more source
Optimal state discrimination and unstructured search in nonlinear quantum mechanics
, 2016 Nonlinear variants of quantum mechanics can solve tasks that are impossible in standard quantum theory, such as perfectly distinguishing nonorthogonal states.
Childs, Andrew M., Young, Joshua
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The Cauchy problem for the Gross–Pitaevskii equation
Annales de l'Institut Henri Poincaré C, Analyse non linéaire, 2006 We prove global wellposedness of the two-dimensional and three-dimensional Gross–Pitaevskii equations in the natural energy space. Résumé On établit que le problème de Cauchy pour l'équation de Gross–Pitaevskii est bien posé dans l'espace d'énergie naturel, en dimensions deux et trois.
openaire +3 more sources
Numerical Solution of the Two-Dimensional Gross-Pitaevskii Equation for Trapped Interacting Atoms
, 2000 We present a numerical scheme for solving the time-independent nonlinear Gross-Pitaevskii equation in two dimensions describing the Bose-Einstein condensate of trapped interacting neutral atoms at zero temperature.
Bagnato +8 more
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A New Thermodynamic Approach to Multimode Fiber Self‐cleaning and Soliton Condensation
Laser &Photonics Reviews, Volume 19, Issue 6, March 18, 2025.A new thermodynamic theory for optical multimode systems is presented, based on a weighted Bose–Einstein law (wBE) and including a state equation, fundamental equation for the entropy and an accuracy metric. An experimental comparison of two propagation regimes of a multimode optical fiber is carried out in terms of wBE, namely the self‐cleaning in the
Mario Zitelli
wiley +1 more source
Derivation of the Gross-Pitaevskii dynamics through renormalized excitation number operators
Forum of Mathematics, SigmaWe revisit the time evolution of initially trapped Bose-Einstein condensates in the Gross-Pitaevskii regime. We show that the system continues to exhibit BEC once the trap has been released and that the dynamics of the condensate is described by the time-
Christian Brennecke, Wilhelm Kroschinsky
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Scalar Field as a Bose-Einstein Condensate?
, 2014 We discuss the analogy between a classical scalar field with a self-interacting potential, in a curved spacetime described by a quasi--bounded state, and a trapped Bose-Einstein condensate.
Castellanos, Elías +3 more
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